1. Geometry Transformations
The Basics…

2. Basic Definitions click to see a concept map
Translation
Rotation
Reflection
Glide Reflection (Adv. Math 7 only)
Dilation
Isometry
Click on the word to go to the definition
Next slide
(Skips the definitions)

3. Translation
A transformation that moves points the same distance and in the same direction
It is an isometry
A composition of reflections in two parallel lines.
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4. Rotations
An image is turned about a point, where all points are x° from that point.
It is an isometry.
A composition of reflections in two intersecting lines is a rotation.
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5. Reflections
When you fold the object on a line and the same object appears
It is an isometry
▲ABC is reflected about the y-axis
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6. Glide Reflections (Adv. Math 7 only)
It is a composition of a translation and a reflection
It is an isometry.
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7. Dilation Has a center and a scale factor.
Enlargement- image is larger than the original
Reduction- image is smaller than the original figure.
This is an enlargement.
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8. Isometry
Original figure and its image (transformed figure) are congruent (same size and shape).
Translation, Rotation, Reflection, and Glide Reflection are isometries.
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9. A Famous Person
Who uses transformations in his work!!!

10. Biography M.C. Escher Maurits Cornelis Escher (1898-1972)
Click to see a Database of M.C. Escher.
He made 448 lithographs, woodcuts and wood engravings and over 2000 drawings and sketches
Born in Leeuwarden
His wife Jetta Umiker, whom he married in They settled in Rome, where they stayed until 1935.

11. M.C. Escher Here is a Video of M.C. Escher
His art contains many types of transformations.
His website is
Pictures of his containing transformations.

12. M.C. Escher Reflection
Fold on the diagonal

13. M.C. Escher Translation
The fish and bird are a translation

14. M.C. Escher Rotation
The stairs are a rotation

15. The End